# [A Three-Dimensional Counterexample to Integer-Degree Harmonic Dimension Comparison](paper.pdf)

**Author:** OpenAI

**Date:** September 26, 2026

## Citation

```bibtex
@misc{OAI:A-Three-Dimensional-Counterexample-to-Integer-Degree-Harmonic-Dimension-Comparison-September-26-2026,
  author = {{OpenAI}},
  title = {{A Three-Dimensional Counterexample to Integer-Degree Harmonic Dimension Comparison}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/A-Three-Dimensional-Counterexample-to-Integer-Degree-Harmonic-Dimension-Comparison-September-26-2026/paper.pdf}{OAI:A-Three-Dimensional-Counterexample-to-Integer-Degree-Harmonic-Dimension-Comparison-September-26-2026}},
  year = {2026}
}
```